충청수학회지 (Journal of the Chungcheong Mathematical Society)

  • 제37권2호
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  • Pages.87-97
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  • 2024
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  • 1226-3524(pISSN)
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  • 2383-6245(eISSN)
충청수학회 (The Chungcheong Mathematical Society)
권호 표지
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APPROXIMATION OF ALMOST EULER-LAGRANGE QUADRATIC MAPPINGS BY QUADRATIC MAPPINGS

  • John Michael Rassias (Pedagogical Department E.E. National and Capodistrian University of Athens) ;
  • Hark-Mahn Kim (Department of Mathematics Chungnam National University) ;
  • Eunyoung Son (Department of Mathematics Chungnam National University)
  • 투고 : 2024.03.05
  • 심사 : 2024.05.08
  • 발행 : 2024.05.31
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초록

For any fixed integers k, l with kl(l - 1) ≠ 0, we establish the generalized Hyers-Ulam stability of an Euler-Lagrange quadratic functional equation f(kx + ly) + f(kx - ly) + 2(l - 1)[k2f(x) - lf(y)] = l[f(kx + y) + f(kx - y)] in normed spaces and in non-Archimedean spaces, respectively.

키워드

과제정보

This work was supported by research fund of Chungnam National University.

참고문헌

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